Final answer:
To find the total number of students in the photography club, we can set up a proportion using the given information and solve for the unknown variable.
Step-by-step explanation:
To find the total number of students in the photography club, we first need to find the percentage of students who are not going to the art show. We are given that 6 students are not going to the art show, which represents 15% of the photography club. So, if 15% is equal to 6 students, we can set up the following proportion:
15% = 6 students
100% = x (total number of students)
Cross multiply the fractions to solve for x:
15% * x = 6 students
0.15 * x = 6 students
x = 6 / 0.15
x = 40 students
Therefore, there are 40 students in the photography club.